You won't get a First Growth of any year for that kind of money and would be pushing it to get even one of their second wines. I'd go 2ème Cru and look at Montrose, Léoville-Barton, etc..
For that money I'd go for Chateau Lynch-Bages - especially for steak
Why waste your money if you have no idea what your looking for, and going by this thread, probably have no idea how to enjoy it?
Chateau Montrose is very drinkable the moment
Make sure you decant it, I'd even go so far as to say spend £80 on the wine and £20 on a decanter. Sorry if it sounds obvious!
Leoville-Barton is indeed lovely and will be in the right price range.
Will have a look on BBR, cheers for the reccomendation. You have a year in mind?
In terms of 'no idea how to enjoy it'. Other than room temparature & decanting, what would you advise? Drinking it upside down, perhaps?